Background and aims: The Interaction of Person-Affect-Cognition-Execution (I-PACE) model of behavioral addictions is used relatively often as a scientific framework to specify research hypotheses and to interpret empirical findings in behavioral addiction research. There are, however, controversial interpretations in the literature regarding some specific elements of the model, which may require a more precise definition of specific constructs and processes that are central to the I-PACE model. Methods: This is neither a comprehensive literature review nor a proposal for a new version of the I-PACE model. We aim to provide a selective, critical evaluation of some interpretations of the model and to include recent developments regarding addiction theories and controversial debates. Results: The role of gratification and compensation and therefore positive and negative reinforcement are specified. The concepts of cue-reactivity and craving are considered in the context of desire thinking and permissive beliefs. The relationships between impulsive, habitual, and compulsive behaviors in behavioral addictions are discussed. The effects of general self-control and situation-specific executive functions are elaborated. Punishment (in)sensitivity is discussed as a further important process potentially involved in behavioral addictions. These constructs and processes (through their interactions) are considered in the context of changes over time in the course of addictive behaviors. Conclusion: This viewpoint article aims to provide greater precision and clarity regarding some specific elements of the I-PACE model, which may help stimulate research and theory building and advance clinical care in the behavioral addiction field.  Kulcsszavak: theoretical considerations, reinforcement, cue-reactivity and craving, habitual and compulsive behaviors, self-control, punishment sensitivity